Magine a satellite is orbiting the moon. how would the satellite behave if the moon were to suddenly disappear? a) the satellite would stop moving. b) the satellite would continue to move in its orbital path. c) the satellite would travel in a straight line into space. d) the satellite would move toward the center of where the moon used to be.

Even if the moon was gone, the satellite would keep moving because the satellite is still going in a straight line, it's only being pulled into circles because of the gravitational force the moon holds, So the answer would be C.

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.